Super-rough dynamics on tumor growth

The growth of a cultivated typical brain tumor is studied in this work. The tumor is analyzed both dynamically and morphologically. We have measured its fractal dimension to be d(f) = 1.21 +/- 0.05. From its dynamical behavior we determine the scaling critical exponents of this circular symmetry sys...

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Detalles Bibliográficos
Autores: Bru Espino, Antonio Leonardo, Pastor Ruíz, Juan Manuel, Fernaud, Isabel, Brú, Isabel, Melle Hernández, Sonia, Berenguer, Carolina
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/57194
Acceso en línea:https://hdl.handle.net/20.500.14352/57194
Access Level:acceso abierto
Palabra clave:515.1
Fractal dimension
Models
Topología
1210 Topología
Descripción
Sumario:The growth of a cultivated typical brain tumor is studied in this work. The tumor is analyzed both dynamically and morphologically. We have measured its fractal dimension to be d(f) = 1.21 +/- 0.05. From its dynamical behavior we determine the scaling critical exponents of this circular symmetry system which are compatible with the linear molecular beam epitaxy universality class. A very important feature of tumor profiles is that they are super-rough, which constitutes the first (1 + 1)-dimensional experiment in literature with super-roughness. The results obtained from the dynamics study make manifest two very surprising features of tumor growth: Its dynamics is mainly due to contour cells and the tendency of an interface cell to duplicate is a function of the local curvature. [S0031-9007(98)07545-0].